13900246272 has 144 divisors (see below), whose sum is σ = 44842580160. Its totient is φ = 4212172800.

The previous prime is 13900246267. The next prime is 13900246279. The reversal of 13900246272 is 27264200931.

13900246272 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 0 + 24 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13900246279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15379 + ... + 167442.

Almost surely, 2^13900246272 is an apocalyptic number.

13900246272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13900246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22421290080).

13900246272 is an abundant number, since it is smaller than the sum of its proper divisors (30942333888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13900246272 is a wasteful number, since it uses less digits than its factorization.

13900246272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182857 (or 182837 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13900246272 in words is "thirteen billion, nine hundred million, two hundred forty-six thousand, two hundred seventy-two".